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Finding the Fourth Proportional to 165,061.30, 227,785.53 and 97,081.13

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Solution

The fourth proportional to 165,061.30, 227,785.53 and 97,081.13 is: 133,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,061.30 : 227,785.53 = 97,081.13 : x
  2. Step 2: Convert to fraction form
    165,061.30/227,785.53 = 97,081.13/x
  3. Step 3: Cross multiply
    165,061.30x = 227,785.53 × 97,081.13
  4. Step 4: Simplify right side
    165,061.30x = 22,113,676,650.05
  5. Step 5: Solve for x
    x = 22,113,676,650.05/165,061.30
  6. Step 6: Final answer
    x = 133,972.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.